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530431134135 = 35741421292667
BaseRepresentation
bin1111011100000000010…
…10001100100110110111
31212201010122202111110120
413232000022030212313
532142310332243020
61043402100023023
753215402151130
oct7560012144667
91781118674416
10530431134135
11194a55601a31
1286974391a73
133b033935716
141b95ca18c87
15dbe7520740
hex7b8028c9b7

530431134135 has 64 divisors (see below), whose sum is σ = 995951545344. Its totient is φ = 236005862400.

The previous prime is 530431134061. The next prime is 530431134151. The reversal of 530431134135 is 531431134035.

It is not a de Polignac number, because 530431134135 - 215 = 530431101367 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 530431134096 and 530431134105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1666072 + ... + 1958738.

It is an arithmetic number, because the mean of its divisors is an integer number (15561742896).

Almost surely, 2530431134135 is an apocalyptic number.

530431134135 is a deficient number, since it is larger than the sum of its proper divisors (465520411209).

530431134135 is a wasteful number, since it uses less digits than its factorization.

530431134135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293144.

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 530431134135 in words is "five hundred thirty billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 41 105 123 205 287 421 615 861 1263 1435 2105 2947 4305 6315 8841 14735 17261 44205 51783 86305 120827 258915 292667 362481 604135 878001 1463335 1812405 2048669 4390005 6146007 10243345 11999347 30730035 35998041 59996735 83995429 123212807 179990205 251986287 369638421 419977145 616064035 862489649 1259931435 1848192105 2587468947 4312448245 5051725087 12937344735 15155175261 25258625435 35362075609 75775876305 106086226827 176810378045 530431134135